WebOct 1, 2024 · In this paper we carry out a systematic study of modules over a formal triangular matrix ring T = A 0 M B : Using the alternative description of right T -modules as triples (X; Y) f with X ∈ Mod ... WebJan 1, 2024 · Strongly Gorenstein FP-Injective Modules over Formal Triangular Matrix Rings. DOI: 10.12677/PM.2024.127127.
The structures of dual modules over formal triangular matrix rings
WebAug 1, 2005 · In this paper, we study the F P -projective dimension under changes of rings, es-pecially under (almost) excellent extensions of rings. Some descriptions of F P … WebApr 1, 2024 · 2. Gorenstein flat modules and dimensions over formal triangular matrix rings. X is a Gorenstein flat left R-module. There is an exact sequence ⋯ → F − 1 → F 0 → F 1 → F 2 → ⋯ of flat left R-modules with X = ker ( F 0 → F 1), which is G ⊗ R − exact for each right R-module G with finite injective dimension. lake county fairgrounds and event center
Duality pairs and FP-injective modules over formal …
WebMay 18, 2024 · Abstract In this paper, we study the class of modules having the property that if any pure submodule is isomorphic to a direct summand of such a module then the pure submodule is itself a direct summand. These modules are termed as pure-direct-injective modules (or pure-C2 modules). We have characterized the rings whose pure … WebJan 12, 2024 · [15] L.X. Mao, Cotorsion pairs and approximation classes over formal triangular matrix rings, J. Pure Appl. Algebra 224, 106271 (21 pages), 2024. [16] L.X. Mao, Duality pairs and FP-injective modules over formal triangular matrix rings, Comm. Algebra 48, 5296-5310, 2024. WebAskar Tuganbaev. Provides the first systematic treatment of formal matrices in a single volume. Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail. Includes concrete examples that illustrate the structures of formal matrix rings. Includes supplementary material: sn.pub/extras. helen no#1 psychic in orlando fl